Question

A coin is tossed and then a die is rolled only in case a head is shown on the coin. Describe the sample space for this experiment.

Answer 1

Given: A coin is tossed and the a die is rolled. 

To Find: Write the sample space for the given experiment. 

Explanation: Here, we have a coin and a die, 

We know, when coin is tossed there will be 2 event Head and tail, 

According to question, If Head occurs on coin then Die will rolled out otherwise not. 

So, the sample spaces are : 

S = {(T, (H, 1)(H, 2), (H, 3), (H, 4), (H, 5), (H, 6)} 

Hence, Sample space is (T, (H, 1)(H, 2), (H, 3), (H, 4), (H, 5), (H, 6)